45096192 has 162 divisors, whose sum is σ = 139596002. Its totient is φ = 13989888.

The previous prime is 45096157. The next prime is 45096199. The reversal of 45096192 is 29169054.

45096192 is a `hidden beast` number, since 4 + 509 + 61 + 92 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43877376 + 1218816 = 6624^2 + 1104^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45096199) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1218798 + ... + 1218834.

Almost surely, 2^45096192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45096192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69798001).

45096192 is an abundant number, since it is smaller than the sum of its proper divisors (94499810).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

45096192 is a wasteful number, since it uses less digits than its factorization.

45096192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 45096192 is about 6715.3698334492. The cubic root of 45096192 is about 355.9425905826.

It can be divided in two parts, 4509 and 6192, that added together give a palindrome (10701).

The spelling of 45096192 in words is "forty-five million, ninety-six thousand, one hundred ninety-two".